Search

In this paper, a study of squeezing unsteady nanofluid flow between two parallel plates was conducted. While the thermal radiation effect along the temperature profile was considered. The homotopy perturbation method (HPM) was used to solve the twodimensional nonlinear momentum and energy equations. The results obtained in the current study were compared with the one obtained using Duan-Rach Approach (DRA) and Least Square Method (LSM). The results are found in understandable agreement with the aforementioned methods.

In this paper, an analytical study of squeezing unsteady nanofluid flow between two parallel plates is carried out. The effects of thermal radiation and heat generation/absorption along the temperature profile were observed. The homotopy perturbation method (HPM) was used to solve the two-dimensional nonlinear momentum and energy equations. The results found in this study are being compared with the result obtained using the RK4 technique with shooting scheme. The results obtained fascinatingly agree with the numerical solutions. Keywords: Nanofluid, Squeezing flow, Nonlinear equations, Homotopy perturbation method (HPM), Runge-Kutta scheme (RK4)

In this paper, the effects of Brownian motion, thermophoresis, chemical reaction, heat generation, magnetohydrodynamic and thermal radiation has been included in the model of nanofluid flow and heat transfer over a moving surface with variable thickness. The similarity transformation is used to transform the governing boundary layer equations into ordinary differential equations (ODE). Both optimal homotopy asymptotic method (OHAM) and Runge-Kutta fourth order method with shooting technique are employed to solve the resulting ODEs. For different values of the pertinent parameters on the velocity, temperature and concentration profiles have been studied and details are given in tables and graphs respectively. A comparison with the previous study is made, where an excellent agreement is achieved. The results demonstrate that the radiation parameter N increases, with the increase in both the temperature and the thermal boundary layer thickness respectively. While the nanoparticles concentration profiles increase with the influence of generative chemical reaction γ 0.

The two-dimensional steady boundary layer flow, of a nanofluid past a stretching sheet with a convective boundary condition in the presence of chemical reaction has been studied. The equation of volume fraction concentration consists of the Brownian motion and the thermophoresis effects. The governing equations are simplified via boundary value approximation and some similarity variables and solved using the Runge-Kutta fourth order method with shooting technique and homotopy perturbation method (HPM) with Pad� approximation (HPM-Pad�). All the salient parameters on the temperature and concentration profiles have been studied and details are given graphically. Thus the results found in this study are being compared with the previously published study, where an excellent agreement is achieved. As presented on tables. It is found that the reduced Nusselt number is a decreasing function of both generative and destructive chemical reaction γ. While the reduced Sherwood number is a decreasing function when chemical reaction parameter, γ0.